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Finding the Fourth Proportional to 23,347.36, 32,219.76 and 12,737.08

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Solution

The fourth proportional to 23,347.36, 32,219.76 and 12,737.08 is: 17,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.36 : 32,219.76 = 12,737.08 : x
  2. Step 2: Convert to fraction form
    23,347.36/32,219.76 = 12,737.08/x
  3. Step 3: Cross multiply
    23,347.36x = 32,219.76 × 12,737.08
  4. Step 4: Simplify right side
    23,347.36x = 410,385,660.70
  5. Step 5: Solve for x
    x = 410,385,660.70/23,347.36
  6. Step 6: Final answer
    x = 17,577.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.